Freeness versus maximal degree of the singular subscheme for surfaces in \(\mathbb {P}^3\)

DOI10.1007/s10711-016-0148-2zbMath1365.14061arXiv1509.02106OpenAlexW2963061606MaRDI QIDQ303991

Alexandru Dimca

Publication date: 23 August 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02106

zbMATH Keywords

free surfaceHilbert polynomialJacobian idealnearly free surfacesingular subscheme

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Syzygies, resolutions, complexes and commutative rings (13D02) Hypersurfaces and algebraic geometry (14J70)

Related Items (3)

On the jumping lines of bundles of logarithmic vector fields along plane curves ⋮ Freeness versus maximal global Tjurina number for plane curves ⋮ Versality, Bounds of Global Tjurina Numbers and Logarithmic Vector Fields Along Hypersurfaces with Isolated Singularities

Cites Work

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• Elementary modifications and line configurations in \(\mathbb P^2\)
• On the exponents of free and nearly free projective plane curves
• Homology of homogeneous divisors
• Freeness of hyperplane arrangements and related topics
• The Jacobian ideal of a hyperplane arrangement
• Application of the theory of the discriminant to highly singular plane curves
• Koszul Complexes and Hypersurface Singularities
• Rees Algebras of Modules
• The Geometry of Syzygies
• Freeness versus maximal global Tjurina number for plane curves

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